A method of identifying integrability quantifiers from an obvious λ-symmetry in second-order nonlinear ordinary differential equations

摘要

In this paper, we present an algorithm to derive second lambda-symmetry vector field from the first lambda-symmetry vector field for a class of second order nonlinear ordinary differential equations. We then employ the method introduced by Muriel et. al. (2017) and derive two independent integrals for a non-polynomial nonlinear oscillator equation. We also derive several integrability quantifiers for this equation with the help of the two lambda - symmetries.